Irfan bought a chair for Rs 517 with a discount of 6% on the marked price. Find the marked price of the chair.

Options

A. Rs. 580
B. Rs 520
C. Rs 550
D. Rs 540

Answer

To find the marked price of the chair that Irfan bought for Rs. 517 with a discount of 6%, we can follow these steps:

### Step 1: Understand the relationship between the marked price, selling price, and discount.
The selling price (SP) is equal to the marked price (MP) minus the discount. In this case, the discount is 6% of the marked price.

### Step 2: Set up the equation.
Let the marked price be \( MP \). The discount given is 6% of \( MP \), which can be expressed as:
\[ \text{Discount} = \frac{6}{100} \times MP = 0.06 \times MP \]

The selling price is then given by:
\[ SP = MP - \text{Discount} \]
Substituting the discount into the equation gives:
\[ 517 = MP - 0.06 \times MP \]

### Step 3: Simplify the equation.
Combine like terms:
\[ 517 = MP(1 - 0.06) \]
\[ 517 = MP \times 0.94 \]

### Step 4: Solve for the marked price.
To find \( MP \), divide both sides by 0.94:
\[ MP = \frac{517}{0.94} \]

### Step 5: Calculate the marked price.
Now, perform the division:
\[ MP = \frac{517}{0.94} \approx 550 \]

### Conclusion:
The marked price of the chair is Rs. 550.